2 Digit by 2 Digit Multiplication Word Problems
This 4th grade sheet has 8 word problems, and every one multiplies a 2-digit number by a 2-digit number. The stories cover equal groups, rows and columns, rates such as miles each week, one area problem and two "times as many" comparisons. No number ends in zero, so each problem needs two partial products.
- Grade
- Grade 4
- Problems
- 8
- Time
- About 25 minutes
- Standard
- 4.NBT.B.5, 4.OA.A.2
Download
Download PDF (US Letter) Download PDF (A4)Two pages: the worksheet, then the answer key. No sign-up needed.
Word problems Solve. Show your work.
An orchard has 28 rows of apple trees with 13 trees in each row. How many apple trees are in the orchard?
364A marching band stands in 18 rows with 12 players in each row. How many players are in the band?
216A factory makes 83 toy cars every hour. How many toy cars does it make in 16 hours?
1,328A kitten weighs 21 ounces. A dog weighs 14 times as much as the kitten. How many ounces does the dog weigh?
294Theo has 15 baseball cards. His uncle has 13 times as many cards as Theo. How many cards does his uncle have?
195A bus route is 31 miles long. The bus drives the whole route 32 times in a week. How many miles does it drive?
992Each page of a stamp album holds 41 stamps. How many stamps fit on 25 pages?
1,025A rug is 62 inches long and 21 inches wide. How many square inches does the rug cover?
1,302
Tips for teachers and parents
- Have the student write the multiplication sentence before solving. For "28 rows with 13 trees in each row" the sentence is 28 × 13 = ?.
- Estimate first by rounding both numbers to the nearest ten. 28 × 13 is about 30 × 10 = 300, so an answer of 364 makes sense.
- Any written method is fine: the standard algorithm, partial products or an area model. Ask the student to show the two partial products.
- In the area problem, the length and width are the two factors, and the answer is in square units (square feet or square inches).
Common mistakes
- Adding the two numbers in a comparison story. Have the student read the sentence aloud: the uncle has 13 times as many cards, not 13 more cards.
- Forgetting the zero placeholder in the second partial product, which makes the answer far too small. Comparing with the estimate catches it.
What to practice next
Move on to 3-digit by 2-digit multiplication word problems, or practice the bare computation on the 2 digit by 2 digit multiplication worksheet.
Frequently asked questions
What are 2 digit by 2 digit multiplication word problems?
They are double digit multiplication word problems: stories in which both numbers have two digits, such as 28 rows of 13 trees. Students multiply them with two partial products, as in Common Core standard 4.NBT.B.5.
What kinds of multiplication story problems are on this sheet?
Equal groups, rows and columns, rates, one area problem and two "times as many" comparisons (4.OA.A.2). Every problem is a single multiplication.
Is there an answer key?
Yes, page 2 of the PDF gives the answer to all 8 problems.